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Trigonometry

by Michael Sullivan

Edition:

4th

ISBN13:

9780134564197

ISBN10:

0134564197

Format:

Hardcover

Pub. Date:

2/1/1996

Publisher(s):

Prentice Hall Professional Technical Reference

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What version or edition is this?

This is the 4th edition with a publication date of 2/1/1996.

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

Summary

A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of most readers. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Chapter topics include Functions and Their Graphs; Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Exponential and Logarithmic Functions; and more. For anyone interested in trigonometry.

Preface to the Instructor

(6)

Preface to the Student

CHAPTER 1 FUNCTIONS AND GRAPHS

(88)

1.1 Review Topics from Algebra and Geometry

(10)

1.2 Rectangular Coordinates and Graphs

(16)

1.3 Functions

(16)

1.4 More about Functions

(16)

1.5 Graphing Techniques

(12)

1.6 One-to-One Functions; Inverse Functions

(11)

Chapter Review

(6)

CHAPTER 2 TRIGONOMETRIC FUNCTIONS

(64)

2.1 Angles and Their Measure

(10)

2.2 Trigonometric Functions: Unit Circle Approach

100

(16)

2.3 Properties of the Trigonometric Functions

116

(11)

2.4 Right Triangle Trigonometry

127

(10)

2.5 Applications

137

(11)

Chapter Review

148

(5)

CHAPTER 3 GRAPHS OF TRIGONOMETRIC FUNCTIONS

153

(52)

3.1 Graphs of the Sine and Cosine Functions

154

(4)

3.2 Sinusoidal Graphs

158

(11)

3.3 Applications

169

(11)

3.4 The Graphs of y = tan x, y = csc x, y = sec x, and y = cot x

180

(5)

3.5 The Inverse Trigonometric Functions

185

(16)

Chapter Review

201

(4)

CHAPTER 4 ANALYTIC TRIGONOMETRY

205

(44)

4.1 Trigonometric Identities

206

(5)

4.2 Sum and Difference Formulas

211

(10)

4.3 Double-angle and Half-angle Formulas

221

(9)

4.4 Product-to-Sum and Sum-to-Product Formulas

230

(4)

4.5 Trigonometric Equations

234

(11)

Chapter Review

245

(4)

CHAPTER 5 OBLIQUE TRIANGLES; POLAR COORDINATES

249

(54)

5.1 The Law of Sines

250

(11)

5.2 The Law of Cosines

261

(7)

5.3 The Area of a Triangle

268

(5)

5.4 Polar Coordinates

273

(9)

5.5 Polar Equations and Graphs

282

(16)

Chapter Review

298

(5)

CHAPTER 6 ANALYTIC GEOMETRY

303

(68)

6.1 Preliminaries

304

(1)

6.2 The Parabola

305

(11)

6.3 The Ellipse

316

(13)

6.4 The Hyperbola

329

(15)

6.5 Rotation of Axes; General Form of a Conic

344

(8)

6.6 Polar Equations of Conics

352

(5)

6.7 Plane Curves and Parametric Equations

357

(8)

Chapter Review

365

(6)

CHAPTER 7 COMPLEX NUMBERS; VECTORS

371

(40)

7.1 Complex Numbers

372

(8)

7.2 The Complex Plane; Demoivre's Theorem

380

(8)

7.3 Vectors

388

(11)

7.4 The Dot Product

399

(8)

Chapter Review

407

(4)

CHAPTER 8 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

411

(60)

8.1 Exponential Functions

412

(12)

8.2 Logarithmic Functions

424

(10)

8.3 Properties of Logarithms

434

(8)

8.4 Logarithmic and Exponential Equations

442

(5)

8.5 Compound Interest

447

(9)

8.6 Growth and Decay

456

(5)

8.7 Logarithmic Scales

461

(4)

Chapter Review

465

(6)

APPENDIX A: ALGEBRA REVIEW

471

(24)

A.1 Completing the Square; the Quadratic Formula

471

(4)

A.2 The Straight Line

475

(20)

APPENDIX B: GRAPHING UTILITIES

495

B.1 The Viewing Rectangle

495

(3)

B.2 Graphing Equations Using a Graphing Utility

498

(5)

B.3 The TRACE, ZOOM-IN, and BOX Functions

503

(3)

B.4 Square Screens

506

(2)

B.5 Approximations

508

ANSWERS

AN1

INDEX

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Trigonometry

9780134564197

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